Let R be an arbitrary associated ring. For an integer N⩾ 2 and a self-orthogonal subcategory
WW of R-modules, we study the notion of Cartan-Eilenberg W WN-complexes. We show that …

Let $ R $ be a ring, $ F $ a subbifunctor of the functor Ext $^{1} _ {R}(-,-) $, $\mathcal {W} _
{F} $ a self-orthogonal class of left $ R $-modules respect to $ F $. We introduce $\mathcal …

Given an integer N≧2 and a self-orthogonal subcategory W of an abelian category A, we
investigate the W-Gorenstein N-complexes. We show that an N-complex G is W-Gorenstein …

Following (Kosa̧n in Algebra Colloq. 14: 53–60, 2007), a module M is called δ-
supplemented if, for every submodule of N of M, there exists L≤ N such that M= N+ L and …

Let R be a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …

In this article, we extend the notion of FP-injective modules to that of Cartan–Eilenberg
complexes. We show that a complex are complexes consisting of FP-injective modules over …

Let R be an associative ring with non-zero identity. For a Serre subcategory C of the
category R-mod of left R-modules, we consider the class Ac of all modules that do not …

The notion of an $\mathcal {L} $ complex (for a given class of $ R $-modules $\mathcal {L} $)
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …

Let A and B be rings, U a (B, A)-bimodule and T= A& 0\U& BT= A 0 UB a triangular matrix
ring. In this paper, we firstly construct a right recollement of stable categories of Ding …

Categorical structures of Lie-Rinehart crossed module Page 1 Turkish Journal of
Mathematics Volume 43 Number 1 Article 41 1-1-2019 Categorical structures of Lie-Rinehart …